13724259985368 has 128 divisors (see below), whose sum is σ = 40781610475200. Its totient is φ = 4261261934592.

The previous prime is 13724259985361. The next prime is 13724259985379. The reversal of 13724259985368 is 86358995242731.

13724259985368 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 4 + 259 + 9 + 8 + 5 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13724259985296 and 13724259985305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13724259985361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18909505 + ... + 19621872.

Almost surely, 2^{13724259985368} is an apocalyptic number.

13724259985368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13724259985368 is an abundant number, since it is smaller than the sum of its proper divisors (27057350489832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13724259985368 is a wasteful number, since it uses less digits than its factorization.

13724259985368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38531506 (or 38531496 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 13724259985368 in words is "thirteen trillion, seven hundred twenty-four billion, two hundred fifty-nine million, nine hundred eighty-five thousand, three hundred sixty-eight".